Pith Number

pith:H5VHIVPJ

pith:2016:H5VHIVPJNKXIWJA6HGAKT2BRDX

not attested not anchored not stored refs pending

On Burghelea Conjecture

Alexander Dranishnikov

arxiv:1612.08700 v5 · 2016-12-27 · math.KT · math.AT · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5VHIVPJNKXIWJA6HGAKT2BRDX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:48:09.321644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f6a7455e96aae8b241e3980a9e8311dc0d54e2b695c9a4548a269cb89fbab78

Aliases

arxiv: 1612.08700 · arxiv_version: 1612.08700v5 · doi: 10.48550/arxiv.1612.08700 · pith_short_12: H5VHIVPJNKXI · pith_short_16: H5VHIVPJNKXIWJA6 · pith_short_8: H5VHIVPJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/H5VHIVPJNKXIWJA6HGAKT2BRDX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3f6a7455e96aae8b241e3980a9e8311dc0d54e2b695c9a4548a269cb89fbab78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1d67b9020c0ec78d2bdbd40045125112e0acd0b124618a014ba880156b5e34e",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-12-27T18:24:05Z",
    "title_canon_sha256": "9d2ec33d0eb4a3007567f81bdf450a52ab30bac4a487e8ae9f59db4e1c043a69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08700",
    "kind": "arxiv",
    "version": 5
  }
}